Load aliasing—A new additional test concept for effective control of nonhomogeneous high‐frequency behavior in linear multistep methods

DOI10.1002/nme.6956OpenAlexW4213451055MaRDI QIDQ6069979

Kumar K. Tamma, Unnamed Author

Publication date: 17 November 2023

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.6956

zbMATH Keywords

time integrationlinear multistep methodaliasinghigh frequency analysis

Mathematics Subject Classification ID

Numerical and other methods in solid mechanics (74Sxx) Numerical methods for ordinary differential equations (65Lxx) Linear vibration theory (70Jxx)

Cites Work

• Unnamed Item
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• An unusual amplitude growth property and its remedy for structure-dependent integration methods
• Evaluation of numerical integration methods in elastodynamics
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• A new unified theory underlying time dependent linear first-order systems: a prelude to algorithms by design
• Survey of the stability of linear finite difference equations
• Design spaces, measures and metrics for evaluating quality of time operators and consequences leading to improved algorithms by design—illustration to structural dynamics
• Algorithms by design with illustrations to solid and structural mechanics/dynamics
• An alpha modification of Newmark's method
• Design, analysis, and synthesis of generalized single step single solve and optimal algorithms for structural dynamics
• A family of noniterative integration methods with desired numerical dissipation
• Unconditional Stability in Numerical Time Integration Methods
• A special stability problem for linear multistep methods
• The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications